98003976192 has 432 divisors, whose sum is σ = 312596090352. Its totient is φ = 30576476160.

The previous prime is 98003976163. The next prime is 98003976199. The reversal of 98003976192 is 29167930089.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98003976199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541458342 + ... + 541458522.

It is an arithmetic number, because the mean of its divisors is an integer number (723602061).

Almost surely, 2^98003976192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98003976192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156298045176).

98003976192 is an abundant number, since it is smaller than the sum of its proper divisors (214592114160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98003976192 is an frugal number, since it uses more digits than its factorization.

98003976192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 98003976192 in words is "ninety-eight billion, three million, nine hundred seventy-six thousand, one hundred ninety-two".